Uniform measures and convolution on topological groups

@inproceedings{Pachl2006UniformMA,
  title={Uniform measures and convolution on topological groups},
  author={Jan Pachl},
  year={2006}
}
Uniform measures are the functionals on the space of bounded uniformly continuous functions that are continuous on every bounded uniformly equicontinuous set. This paper describes the role of uniform measures in the study of convolution on an arbitrary topological group. 

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Showing 1-10 of 28 references

On the weak continuity of convolution in a convolution algebra over an arbitrary topological group

  • I. Csiszár
  • Studia Sci. Math. Hungarica 6
  • 1971
Highly Influential
15 Excerpts

Analysis on Semigroups

  • J. F. Berglund, H. D. Junghenn, P. Milnes
  • Wiley Interscience
  • 1989
Highly Influential
4 Excerpts

Continuity of Arens multiplication on the dual space of bounded uniformly continuous functions on locally compact groups and topological semigroups

  • A.T.M. Lau
  • Math. Proc. Cambridge Phil. Soc. 99
  • 1986
Highly Influential
4 Excerpts

Invariant means on locally compact semigroups

  • J.C.S. Wong
  • Proc. Amer. Math. Soc. 31
  • 1972
Highly Influential
3 Excerpts

Some problems concerning measures on topological spaces and convolutions of measures on topological groups

  • I. Csiszár
  • “Les Probabilités sur les Structures Algébriques…
  • 1970
Highly Influential
7 Excerpts

A note on precompactness of weakly almost periodic groups

  • M. G. Mengrelishvili, V. G. Pestov, V. V. Uspenskij
  • ”Nuclear Groups and Lie Groups”, Research and…
  • 2001
Highly Influential
2 Excerpts

Recent development of theory of uniform spaces

  • Z. Froĺık
  • Springer-Verlag Lecture Notes in Mathematics 609
  • 1977
Highly Influential
4 Excerpts

Mesures uniformes

  • Z. Froĺık
  • C. R. Acad. Sci. Paris 277
  • 1973
Highly Influential
4 Excerpts

Note on a certain class of measures

  • L. LeCam
  • Unpublished manuscript
  • 1970
Highly Influential
4 Excerpts